Yes. I would do the following:
- Copy your OOTP 17 league file to a thumb drive.
- Deactivate the license for your OOTP 17 installation.
- Uninstall your OOTP 17 game on the old laptop.
- Install OOTP 17 on your new laptop and activate the license.
- Copy the league file to the saved games folder for OOTP17.
- Test the league by calling it up and saving it again.
- Install OOTP 18 on your new laptop and activate its license.
- Use the "Import OOTP 17 Game" feature in OOTP 18.